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An assignment for the probability and stochastic processes course at the karachi institute of economics and technology, released in spring 2022. Students are required to verify the central limit theorem by generating uniformly distributed random variables in matlab, verifying their probability density functions (pdfs), and then summing these variables to verify that the pdf of the new random variable is gaussian. The assignment is due in hard copy and soft copy (with matlab code and output graphs) before the next week's class.
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Released 10 Feb 2022 DUE 17 Feb 2022 (HARD COPY BEFORE CLASS AND SOFTCOPY WITH MATLAB CODE on LMS before 6 PM) In this assignment you will verify the Central Limit Theorem. You will generate a large number of uniformly distributed random variables in Matlab. Verify their pdf separately to see it obeys the uniform distribution. Now sum these uniformly distributed random variables and verify that the pdf of this new random variable is having a Gaussian Distribution. You will submit your assignment as a single .doc file with any Matlab code listing and output graphs generated using your Matlab script ON LMS as well as in hard copy before beginning of next week class.